The latest demand equation for your gaming website is given by p = 4 +3 where q is the number of users who log-on per month and p is the log-on fee you charge. Your internet provider bills you as follows: Site maintenance fee: $20 per month; Access fee: 50¢ per log-on a). Find the average cost, the marginal cost, the marginal revenue, and the marginal profit, (all in terms of q). Include units and interpret. b). Use calculus to determine the largest possible monthly profit. Interpret.

Q: Given the demand equation = 220 - 0.55x . find the ma revenue at a prouduetion level.of go umits…

A:

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation.…

A:

Q: Suppose that a computer software company produces and sells a new operating system at a cost of $55…

A: The cost of new operating system is $55 per copy The fixed cost is $15,000 per month. If the number…

Q: Suppose that a manufacturer has fixed daily costs of $5000 and variable costs of $80 for each item…

A:

Q: o store buys 20 dvd’s at a price of $25 and 15 dvd’s if the price is $30. Determine the demand…

A:

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: Let 'x' represents the number of months you own the phone.

Q: ASK YOUR TEACHE Nationwide Communications offers its customers a monthly plan for text messaging.…

A:

Q: A supplier of souvenir jackets charges street vendors for each order based on a set up fee of $28…

A: It is given that, the supplier charges $28 based on a setup fee and an item charge is $3.4 per…

Q: A vendor charges $43 for a jacket. What is the demand function?

A: The vendor charges the jacket at $43.

Q: For a manufacturer's product, the demand function is p = 240 + 57q - q² At what level of output…

A: Let the demand function is p=240+57q-q2   To determine: The value of q at which the revenue function…

Q: A soft drink manufacturer found that the total cost is $4020 when 1200 cases of soda are produced in…

A: Consider marginal cost per case of soda be "a" and weekly fixed cost is "b" Total cost can be…

Q: Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total…

A: Total monthly compensation is C in dollars. Total monthly sales is S in dollars. Consider the part…

Q: It costs $1000 to produce 100 t-shirts in a day, and it costs $1300 to produce 140 t-shirts in a…

A: Definition used -            Slope of a line-               Slope of  a line passing through points…

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.